When I ask someone new to get to know each other, I will just say, "はじめまして。わたしは(my name)ともうします。よろしくおねがいします。" and add my selfintroduction.
Usually, we don't call "friend(ともだち)" to people.
Is this the answer you expected?
2014年7月27日
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yes, my friend i will like to know you
2014年7月25日
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I'm sorry, did you mean "My friend, I'd like to get to know you"? This is about meeting people, right?